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Finding the Third Proportional to 17,865.38 and 40,282.69

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Solution

The third proportional to 17,865.38 and 40,282.69 is: 90,829.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.38 : 40,282.69 = 40,282.69 : x
  2. Step 2: Convert to fraction form
    17,865.38/40,282.69 = 40,282.69/x
  3. Step 3: Cross multiply
    17,865.38x = 40,282.69 × 40,282.69
  4. Step 4: Simplify right side
    17,865.38x = 1,622,694,912.22
  5. Step 5: Solve for x
    x = 1,622,694,912.22/17,865.38
  6. Step 6: Final answer
    x = 90,829.04

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These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.